Final Velocity after Any Displacement

The Last Equation…For now

The Last Equation

• If we take the equations that we’ve looked at so far, and do some mathematical hand waving…

• We get:

xavv if 222

Example

• A person pushing a stroller starts from rest, uniformly accelerating at a rate of 0.500 m/s2. What is the velocity of the stroller after it has traveled 4.75m?

Example

• A person pushing a stroller starts from rest, uniformly accelerating at a rate of 0.500 m/s2. What is the velocity of the stroller after it has traveled 4.75m?

• Givens: a= 0.500 m/s2 vi= 0 m/s Δx=4.75 m vf= ?

Example

• A person pushing a stroller starts from rest, uniformly accelerating at a rate of 0.500 m/s2. What is the velocity of the stroller after it has traveled 4.75m?

• Givens: a= 0.500 m/s2 vi= 0 m/s Δx=4.75 m vf= ? xavv if 222

Example

• A person pushing a stroller starts from rest, uniformly accelerating at a rate of 0.500 m/s2. What is the velocity of the stroller after it has traveled 4.75m?

• Givens: a= 0.500 m/s2 vi= 0 m/s Δx=4.75 m vf= ?

smsmv

smv

msmsmv

xavv

f

f

f

if

/18.2/75.4

/75.4

)75.4)(/500.0(2)/0(

2

22

222

222

22

Practice

• Pg. 58 Practice E